1.

In ΔXYZ, if G is the centroid and XL is the median with length 18 cm, then the length XG is:1. 12 cm2. 10 cm3. 14 cm4. 16 cm

Answer» Correct Answer - Option 1 : 12 cm

Given :

XL is the centroid of a triangle XYZ and G is the centroid of the of the median 

Concept used :

In a triangle ABC if a median AD is drawn from A to side C, then centroid G divides the AD  in the ratio 2 : 1

Calculations :

XL = XG + GL

XG : GL = 2 : 1 (G is the centroid)

⇒ XG = (2/3) of XL 

⇒ XG = (2/3) × 18

⇒ XG = 12 

∴ XG is 12 cm.



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